I was reading this article ON Karaite jews about "Who is a Jew" it says:

However, anyone who formally accepts the God of Israel as his own god,
the people of Israel as his own people, and is circumcised (males
only), is a fully established member of the people of Israel (Jew);
Karaites believe this should be done, after living amongst Karaites
and studying the Torah, in the form of a vow before the Beit Din, see
Exodus 12:43–49, Ruth 1:16, Esther 8:17, and Isaiah 56:6–7; also
Ezekiel the prophet states that strangers who have joined themselves
to the Children of Israel will be given land inheritance among the
Tribes of Israel amongst whom they live during the final
redemption.

Ezekiel 47:21-2317 וְחִלַּקְתֶּם אֶת-הָאָרֶץ הַזֹּאת לָכֶם—לְשִׁבְטֵי
יִשְׂרָאֵל. וְהָיָה תַּפִּלוּ אוֹתָהּ בְּנַחֲלָה לָכֶם וּלְהַגֵּרִים
הַגָּרִים בְּתוֹכְכֶם אֲשֶׁר-הוֹלִדוּ בָנִים בְּתוֹכְכֶם וְהָיוּ לָכֶם
כְּאֶזְרָח בִּבְנֵי יִשְׂרָאֵל אִתְּכֶם יִפְּלוּ בְנַחֲלָה בְּתוֹךְ
שִׁבְטֵי יִשְׂרָאֵל. וְהָיָה בַשֵּׁבֶט אֲשֶׁר-גָּר הַגֵּר אִתּוֹ שָׁם
תִּתְּנוּ נַחֲלָתוֹ נְאֻם אֲדֹנָי יהוה So shall you divide this land
unto you according to the tribes of Israel. And it shall be that you
divide it by lot as an inheritance for yourselves, and for the
resident aliens who sojourn in your midst and who bear children among
you. And they shall be to you as native-born among the children of
Israel—with you they have an inheritance in the midst of the tribes of
Israel. And it shall be that in whatever tribe the resident alien
sojourns, there you shall give him his inheritance," declares the Lord
YHWH.

Although Muslims would never like to be called Jews not because they hate Bani Israel but because they love Bni Israel as they were the Muslims of the time and had never called themselves as Jew. but I found that beliefs of Karite Jews would cause Muslims to be recognized by the Karaite Judaism. I wanted an answer from a Karaite point of view on this issue. Naturally , the Kariate jews and Orthodox Jews would claim each other to be heretic or non Jew , hence i wanted this answer only from Karaite point of view.

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A little side note, you are reading wrong. It says הַגֵּר HaJer(The convert),meaning you have to be a convert to their religion.
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MoriDoweedhYaa3qobMar 10 '13 at 5:29

so the "convert" has to be a convert according to the rules prevalent at the time of Ezekiel
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AliMar 10 '13 at 5:38

1

no...a convert needs to be a convert to the karaite religion or pharasee religion or sedducee religion, according to their laws. Just like muslims because muslims when they accept islam and its rules for converts.
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MoriDoweedhYaa3qobMar 10 '13 at 5:39

3

It's reasonable to want an answer from a Karaite Jew regarding this question. They are the only people who can answer this because, contrary to @DhoweedYaAgov's beliefs, they interpret things their own way. However, I believe this site is a rabbinic Jewish site and I don't think questions about Karaites is on topic here.
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Charles KoppelmanMar 10 '13 at 5:54

2

@CharlesKoppelman Actually I remember reading that they refuse to have any "central" way of interpreting things because that would be just like the Rabbinical Judaism they reject. So each member decides these things for themself.
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ArielMar 10 '13 at 6:29